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Finding the Fourth Proportional to 7,421.62, 11,133.50 and 2,227.90

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Solution

The fourth proportional to 7,421.62, 11,133.50 and 2,227.90 is: 3,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.62 : 11,133.50 = 2,227.90 : x
  2. Step 2: Convert to fraction form
    7,421.62/11,133.50 = 2,227.90/x
  3. Step 3: Cross multiply
    7,421.62x = 11,133.50 × 2,227.90
  4. Step 4: Simplify right side
    7,421.62x = 24,804,324.65
  5. Step 5: Solve for x
    x = 24,804,324.65/7,421.62
  6. Step 6: Final answer
    x = 3,342.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.